Braided BiGalois theory and its application to Brauer groups (辫子双Galois理论及其Brauer群应用)
发布人: 曹思圆   发布时间: 2018-11-26   浏览次数: 43

主讲人:张印火 教授 (比利时Hasselt大学终身教授,Hopf代数及非交换几何专家)
主持人:胡乃红 教授
开始时间:2018-11-27  10:00-11:00
讲座地址:闵行数学楼402报告厅
主办单位:数学科学学院科技处


摘要:
Let $(H, \mathcal{R})$ be a quasi-triangular Hopf algebra or a quantum group, $\mathcal{C}$ the representation category of $H$, which is a braided tensor category.  The transmutation of $(H,R)$ is a braided Hopf algebra in the category $\mathcal{C}$. We study the  braided autoequivalences of the Drinfeld center $\mathcal{Z(C)}$ which are trivializable on $\mathcal{C}$. To this end, we need to develop a general braided bi-Galois theory for Hopf algebras in braided tensor categories, and study quantum-commutative bi-Galois objects in the braided tensor categories.  After establishing the aforementioned theory, we will apply it to compute the Brauer group of the quantum group $(H,R)$.